引入分形维数的絮体粒径分布规律及其守恒关系

The Fractal Characteristics of Particle Size Distribution and Conservation Relationship

采用显微摄影技术 ,通过混凝实验分析了腐植酸絮凝体的粒径分布规律 .结果表明 ,腐植酸絮体的粒径呈现对数正态分布 .从混凝动力学基本方程出发 ,考虑到腐植酸絮体构造的不规则性 (分形维数 ) ,分析了颗粒数量、颗粒平均体积和标准偏差之间存在的守恒关系 ,该守恒关系可以大大简化基本方程的求解 ,更简便地预测混凝过程中絮体的粒径分布 .

Using a microscopic technique, the characteristics of particle size distribution of Al-humic flocs were studied. The results showed that Al-humic floc size followed a lognormal distribution. By introducing the lognormal distribution and fractal dimension into the fundamental kinetic equation of flocculation, a conservation relationship was obtained between the total number of particles, average floc volume and standard deviation of floc size distribution. Significance of the relation can greatly simplify the complicated procedure of kinetic analysis and enable a more accurate evaluation of floc size distribution.